Full paper in PDF:
$% J.-P. Dias and M. Figueira, On the existence of weak solutions for a semilinear
singular hyperbolic system, Rev. Mat. Univ. Complut. Madrid 4 (1991), no. 1,
137–146.%$
On the Existence of Weak Solutions for a Semilinear Singular Hyperbolic System
In this paper we prove the existence of a weak solution for the semilinear singular real hyperbolic system
where
is a smooth, bounded and positive function of the type
,
,
in a neighborhood of zero. The initial data
belong to
and
verify
1980 Mathematics Subject Classification (1985 revision): 35L45, 35L60.